separable-homogeneous-1

# separable-homogeneous-1 - dy dx =-2 xy y(0 = 2(b L dw dt Rw...

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MAT 2384-Practice Problems on First-order Separable- Homogeneous ODE’s 1. Find the general solution of each of the following ODE’s. (a) y 0 = 2 sec(2 y ) (b) yy 0 + 25 x = 0 (c) y 0 sin( πx ) = y cos( πx ) (d) y 0 e - 2 x = y 2 + 1 (e) ( x 3 + y 3 ) dx - 3 xy 2 dy = 0 (f) - ( x 2 + 3 y 2 ) dx + 2 xydy = 0 2. Find the particular solution of each of the following Initial Value Problems. (a)
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Unformatted text preview: dy dx =-2 xy, y (0) = 2 (b) L dw dt + Rw = 0 , w (0) = w ( L,R,w are constants) (c) y = 2( x + 2) y 3 e-2 x , y (0) = 1 √ 5 (d) y x ln( x ) = y, y (3) = ln(81). (e) yy e y 2 = ( x-1) , y (0) = 1 (f) (2 x + 3 y ) dx + ( y-x ) dy = 0 , y (1) = 0. 1...
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## This note was uploaded on 02/02/2011 for the course MATH MAT 2384 taught by Professor Khoury during the Spring '10 term at University of Ottawa.

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